248256 has 42 divisors (see below), whose sum is σ = 713232. Its totient is φ = 82560.

The previous prime is 248243. The next prime is 248257. The reversal of 248256 is 652842.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248257) by changing a digit.

248256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361 + ... + 791.

2²⁴⁸²⁵⁶ is an apocalyptic number.

248256 is the 288-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356616).

248256 is an abundant number, since it is smaller than the sum of its proper divisors (464976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248256 is a wasteful number, since it uses less digits than its factorization.

248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 436 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 248256 is about 498.2529478086. The cubic root of 248256 is about 62.8492237170.

The spelling of 248256 in words is "two hundred forty-eight thousand, two hundred fifty-six".